# Processing Manifold-valued Data on Finite Weighted Graphs

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title = "Processing Manifold-valued Data on Finite Weighted Graphs"
date_start = "2016-05-07"
collaborators = ["Daniel Tenbrinck"]
logo = "Laplace.png"
summary = "This project aims to investigate methods to perform image processing and data analysis on manifold-valued data defined on a graph. This reaches from defining meaningful models and differential operators for data on Riemannian manifolds, to deriving numerical optimization schemes to solve the related problems, to the investigation of theoretical properties as convergence rates and upper bounds, to finally applying derived algorithms to real world applications, e.g., in medical imaging."
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This project aims to investigate methods to perform image processing and data analysis on manifold-valued data defined on a graph. This reaches from defining meaningful models and differential operators for data on Riemannian manifolds, to deriving numerical optimization schemes to solve the related problems, to the investigation of theoretical properties as convergence rates and upper bounds, to finally applying derived algorithms to real world applications, e.g., in medical imaging.

{{nocite BergmannTenbrinck-2018 BergmannTenbrinck-2017 }}

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